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Finding the Fourth Proportional to 2,391.26, 3,585.96 and 930.21

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Solution

The fourth proportional to 2,391.26, 3,585.96 and 930.21 is: 1,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.26 : 3,585.96 = 930.21 : x
  2. Step 2: Convert to fraction form
    2,391.26/3,585.96 = 930.21/x
  3. Step 3: Cross multiply
    2,391.26x = 3,585.96 × 930.21
  4. Step 4: Simplify right side
    2,391.26x = 3,335,695.85
  5. Step 5: Solve for x
    x = 3,335,695.85/2,391.26
  6. Step 6: Final answer
    x = 1,394.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.